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Finding the Fourth Proportional to 152,229.84, 210,278 and 116,856.96

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Solution

The fourth proportional to 152,229.84, 210,278 and 116,856.96 is: 161,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.84 : 210,278 = 116,856.96 : x
  2. Step 2: Convert to fraction form
    152,229.84/210,278 = 116,856.96/x
  3. Step 3: Cross multiply
    152,229.84x = 210,278 × 116,856.96
  4. Step 4: Simplify right side
    152,229.84x = 24,572,447,834.88
  5. Step 5: Solve for x
    x = 24,572,447,834.88/152,229.84
  6. Step 6: Final answer
    x = 161,416.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.